Semilocal Convergence Theorem for the Inverse-Free Jarratt Method under New Hölder Conditions
Semilokální konvergenční teorém inverzní Jarratovy metody za nové Holderovy podmínky
Abstract
Under the new Hölder conditions, we consider the convergence analysis of the inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation. We establish a new semilocal convergence theorem for the inverse-free Jarratt method and present an error estimate. Finally, three examples are provided to show the application of the theorem. Under the new Hölder conditions, we consider the convergence analysis of the inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation. We establish a new semilocal convergence theorem for the inverse-free Jarratt method and present an error estimate. Finally, three examples are provided to show the application of the theorem.
Persistent identifier
http://hdl.handle.net/11012/193169Document type
Peer reviewedDocument version
Final PDFSource
The Scientific World Journal. 2015, vol. 2015, issue 1, p. 1-9.https://www.hindawi.com/journals/tswj/2015/346571/
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